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Finding the Fourth Proportional to 523.34, 721.96 and 406.10

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Solution

The fourth proportional to 523.34, 721.96 and 406.10 is: 560.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.34 : 721.96 = 406.10 : x
  2. Step 2: Convert to fraction form
    523.34/721.96 = 406.10/x
  3. Step 3: Cross multiply
    523.34x = 721.96 × 406.10
  4. Step 4: Simplify right side
    523.34x = 293,183.33
  5. Step 5: Solve for x
    x = 293,183.33/523.34
  6. Step 6: Final answer
    x = 560.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.